Umm you basically answered your own question
the answer is 3 an the slope is 2/1
The correct statements regarding the exponential function
- The function is positive on its entire domain.
- The domain is x ≥ 0 to represent the number of years after the bedroom furniture was purchased.
- The y-intercept (0, 1000) represents the initial cost of the bedroom furniture.
<h3>What is an exponential function?</h3>
An exponential function is modeled by:
In which:
For this problem, we have that when x = 0, y = 1000, hence the y-intercept is of (0,a) = (0,1000), and:
When x = 2, y = 722.5, hence we use it to find b, as follows:
1000b² = 722.5
b² = 0.7225
b = sqrt(0.7225)
b = 0.85.
Hence the equation is:
The <u>asymptote is at y = 0</u>, hence the function is positive in the entire domain, and the and the domain is x ≥ 0 to represent the number of years after the bedroom furniture was purchased, as in these problems time is non-negative.
More can be learned about exponential functions at brainly.com/question/25537936
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Answer:
x = 1
Step-by-step explanation:
Using the rules of logarithms
log ⇔ n log x
x = n ⇔ x =
Given
3 (2x) = 3
(2x)³ = 3
(2x)³ = 2³
8x³ = 8 ( divide both sides by 8 )
x³ = 1 ( take the cube root of both sides )
x = 1
Answer:
Step-by-step explanation:
The first term is 2
Therefor t₁ = 2
Each aditional term is 5 times the previous term
That's the second choice
So, start with the growth formula
A=P(1+r)^t then plug in the values
6200=5200(1+.038)^t
then divide both sides by 5200
1.1923076923=1.038^t
then take the log of both sides
log(1.1923076923)= t log(1.038)
then divide both sides by the log(1.038)
4.7161004299=t
then round it to the nearest whole number
5=t
so about 5 months